Least Common Multiple of 942/82, 537/544

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 942/82, 537/544 quickly i.e. 84309 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 942/82, 537/544 is 84309.

LCM(942/82, 537/544) = 84309

LCM of 942/82, 537/544

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 942/82,537/544

Given numbers are 942/82,537/544

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 942,537

Least Common Multiple of Numerators i.e. LCM of 942,537 is 168618.

GCF of Denominators means GCF of 82,544 as per the given fractions.

GCF of 82,544 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 942,537

LCM of Fractions 942/82,537/544 is 84309

3 942, 537
314, 179

∴ So the LCM of the given numbers is 3 x 314 x 179 = 168618

Least Common Multiple of 942,537 with GCF Formula

Least Common Multiple of 942,537 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 942,537 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(942,537) = 3

common factors(in case of two or more numbers have common factors) = 1

GCF(942,537) x common factors =3 x 1 = 3

LCM(942,537) = ( 942 × 537 ) / 3

LCM(942,537) = 505854 / 3

LCM(942,537) = 168618


Lets's calculate GCF of 82,544

2 82, 544
41, 272

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 168618/2

Therefore the LCM of Fractions 942/82,537/544 is 84309

Greatest Common Factor of 82,544 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,544 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 544

List of positive integer factors of 544 that divides 544 without a remainder.

1,2,4,8,16,17,32,34,68,136,272,544

Greatest Common Factor

We found the factors 82,544 . The biggest common factor number is the GCF number.
So the greatest common factor 82,544 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 942/82, 537/544

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 942/82, 537/544?

Answer: LCM of Numerators as per given numbers 942/82, 537/544 is

LCM of Numerators i.e. for 942,537 is 168618

GCF of denominators i.e. for 82,544 is 2.

Thus, LCM of Fractions is 84309.Finally, LCM of Fractions for 942/82, 537/544 is 84309.